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Finding the Third Proportional to 99,024 and 206,209

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Solution

The third proportional to 99,024 and 206,209 is: 429,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,024 : 206,209 = 206,209 : x
  2. Step 2: Convert to fraction form
    99,024/206,209 = 206,209/x
  3. Step 3: Cross multiply
    99,024x = 206,209 × 206,209
  4. Step 4: Simplify right side
    99,024x = 42,522,151,681
  5. Step 5: Solve for x
    x = 42,522,151,681/99,024
  6. Step 6: Final answer
    x = 429,412.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.